منابع مشابه
Historic set carries full hausdorff dimension
We prove that the historic set for ratio of Birkhoff average is either empty or full of Hausdorff dimension in a class of one dimensional non-uniformly hyperbolic dynamical systems.
متن کاملPerturbations D’exemples De Lattès Et Dimension De Hausdorff Du Lieu De Bifurcation
We give an estimate for the Hausdorff dimension of the bifurcation locus of a family of endomorphisms of Pk(C). This dimension is maximal near isolated Lattès examples.
متن کاملEffective Hausdorff Dimension
We continue the study of effective Hausdorff dimension as it was initiated by LUTZ. Whereas he uses a generalization of martingales on the Cantor space to introduce this notion we give a characterization in terms of effective s-dimensional Hausdorff measures, similar to the effectivization of Lebesgue measure by MARTIN-LÖF. It turns out that effective Hausdorff dimension allows to classify sequ...
متن کاملEffective Hausdorff dimension
Lutz (2000) has recently proved a new characterization of Hausdorff dimension in terms of gales, which are betting strategies that generalize martingales. We present here this characterization and give three instances of how it can be used to define effective versions of Hausdorff dimension in the contexts of constructible, finite-state, and resource-bounded computation.
متن کاملThe Transfinite Hausdorff Dimension
Making an extensive use of small transfinite topological dimension trind, we ascribe to every metric space X an ordinal number (or −1 or Ω) tHD(X), and we call it the transfinite Hausdorff dimension of X. This ordinal number shares many common features with Hausdorff dimension. It is monotone with respect to subspaces, it is invariant under bi-Lipschitz maps (but in general not under homeomorph...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mémoires de la Société mathématique de France
سال: 1974
ISSN: 0249-633X,2275-3230
DOI: 10.24033/msmf.144